Abstarct: The analysis of wave propagation through jointed rock masses is one of the most important issues for solving problems in petroleum, rock dynamics, geophysics, civil engineering and military industries. Rock masses consist of intact rock material and various forms of discontinuities. The discontinuous nature of the rock masses significantly affects their mechanical properties and engineering behaviours including wave propagation. When a wave transmits across discontinuous rock masses, it is significantly attenuated due to the reflection at joints. Therefore, the prediction of wave attenuation across jointed rock masses is significant in solving problems of geophysics, rock dynamics, seismic research and earthquake engineering.The purpose of this thesis is to study numerical and analytical methods of wave propagation in jointed rock masses. For analytical method, this is done with a combination of the DDM, stress and strain equation, propagator matrix, plate wave analysis and using Fourier transform for single joint and multiple parallel joints. For numerical modelling, the commercial software of the UDEC which has the potential for dynamic analysis of discontinuous model, has been used. After parametric studies, it is found that parameters including normalized fractures stiffness, incident angle, normalized fracture spacing and number of joints have effect on wave propagation in single joint and multiple parallel joints. The results show that there is good agreement between numerical modelling, analytical method and study of previous researchers.